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Learning about linear equations and inequalities can be tough. Once you feel you mastered one type of problem you get stumped on the next. This course is structured to not leave you behind in the dust. I start off each section with basic definitions and processes you will need to know moving through the course. I then present two types of videos to you for each skill. First is the overview video where I explain the concept as a whole like a typical lecture in a classroom. I then work through multiple examples showing you step by step how to complete different types of problems. We both know watching someone do math is not the best way to learn. You have to practice! Each section you are provided with multiple worksheets to practice your skills as well as the answer to check your answers. Revert back to videos if you get stuck and forget how to solve the problems. Once you feel you have a good grasp of your understanding it is time to take your quiz. There are multiple quizzes provided for each section. Take the quizzes as many times as you need to earn 100%. There is no pressure you are hear to learn. By taking this course you will not only gain a better understanding of linear equations and inequalities but you will gain confidence to solve more problems on your own. That is why I created this course. I want students to no longer fear learning math or walking into their math class because they just don't understand. Everyone can learn math. Some it just takes a little longer, some just need a little boast and some need a course like I designed to guide them through the material. Heck once you complete this course, show your teacher! You deserve and A. I am here for you and by joining this course you are now one of my students just as important to me as the 140 students I teach in the classroom during the school year. So please keep in touch, let me know how I am doing and if there is anything extra I can provide to assist you with your learning of linear equations and inequalities.
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|Section 1: Introduction|
|Section 2: The basic stuff you need to know to solve linear equations|
What is an equation?
What is a solution to an equation?
What does it mean to isolate a variable?
What are inverse operations?
What are the properties of equality?
|Section 3: Solving Linear Equations|
Overview how to solve one-step equations
Examples for solving one-step equations
Quiz - One-Step Equations
Overview how to solve two-step equations
Examples for solving two-step equations
Quiz - Solving Two-Step Equations
Overview how to solve multi-step equations variable same side
Examples for multi-step equations with variables on the same side
Quiz - Multi-step equations same side
Overview how to solve multi-step equation variable on both sides
Examples for solving multi-step equations with variables on both sides
Quiz - Multi-step Equations Opposite Sides
|Section 4: Literal Equations|
Examples Solving Linear Literal Equations
Examples Solving Literal Equation as formulas
Examples Solving Literal Equations with Multiple Steps
|Section 5: Solving and Graphing One-Variable Inequalities|
Examples for graphing one-variable inequalities
Examples for Solving and Graphing One-Varialbe Inequalities
Examples for Solving and Graphing Multi-step Inequalities
Quiz - Solving and Graphing One-Variable Inequalities
Examples for Solving and Graphing Compound And Inequalities
Examples for Solving and Graphing Compound OR Inequalities
Quiz - Solving and Graphing Compound Inequalities
Examples for Writing the Compound Inequality from a Graph
|Section 6: The Basics for writing the equation of a line|
What are perpendicular lines?
What is a linear equation?
What is slope?
What is the y-intercept
What are parallel lines?
What is the slope formula?
|Section 7: Writing the Equation of a line|
Overview determining the slope between two points
Examples for determining the slope between two points
Overview for determining the slope between two points
Examples Writing the equation of a line given the slope and y-intercept
Examples Writing the equation given the slope through a point
Quiz - Write Equation Given Point and Slope
Examples for Writing the equation of a line between two points
Quiz - Write Equation Given Two Points
Examples for Writing the equation of a line parallel to another line
Quiz - Write Equation Parallel to Another Line Through Point
Examples for Writing the equation of a line perpendicular to another line
Quiz - Write Equation Perpendicular Through a Point
|Section 8: Direct Variation|
Examples for writing direct variation of a line through a point
Examples for writing direct variation when y varies directly with x
Examples for riting direct variation when y varies directly with x and fractions
Examples for solving for the missing variable when y varies directly with
Examples for determining if an equation is an example of direct variation or not
|Section 9: The Basics of Graphing Linear Equations|
Learn what a linear equation is
I will explain what the parent function of a linear equation is
I will show you how to convert between slope intercept for and standard form
I will explain what the x and y intercepts are of a linear equation
I will explain what is slope intercept form and how we use it to graph
|Section 10: Graphing Linear Equations in slope-intercept and Standard form|
Overview how to graph an equation in slope intercept form
In this video I will show you how to graph a linear equation in slope-intercept form
In this quiz you will test your skills for graphing linear equations in slope intercept form
Overview how to graph an equation in standard form
In this video I will show you how to graph a linear equation in standard form
In this quiz you will test your skills for graphing a linear equation in standard form
|Section 11: Basics for Graphing Linear Inequalities|
I will show you how to determine if the boundry line is shaded or dashed
I will show you how to shade an inequality
|Section 12: Graphing Linear Inequalities|
I will show you how to graph an inequality in slope intercept form
Examples for graphing linear inequalities in standard form
In this quiz you will be able to test your skills for graphing linear inequalities
|Section 13: Conclusion|
Test your skills of this course with the final test
|Section 14: Bonus - Basics of Absolute Value|
What is the absolute value symbol mean?
What is the graph of an absolute value function?
|Section 15: Bonus - Absolute Value Equations|
Overview for solving absolute value equations
Examples for solving one-step absolute value equations
Examples for solving two-step absolute value equations
Examples for solving Absolute value equations with extraneous solutions
Examples for solving and graphing absolute value inequalities AND
Examples for solving and graphing absolute value inequalities OR
Overview for how to graph absolute value equations
Examples for Graphing Absolute Value Equations with translations
Examples for graphing absolute value equations with multiple transformations
Examples for graphing absolute value equations with dialations
Overview for how to graph absolute value inequalities
Examples for graphing absolute value inequalities
Examples for graphing absolute value inequalities with dialations
I am a high school that is on a mission to improve math education. I was that student that sat in the back of class frustrated with the boredom of class and the lack of understanding. I made the decision to become a math teacher to make a difference in others lives. I knew that with the struggles I had I could relate well to students that struggled with math. With a weak math background I set out to get a degree in mathematics. In was a difficult journey and I worked very hard not just to pass my math classes but to have an understanding of what I was doing. I learned a lot about myself, mathematics and what it takes to be successful in class through my time at college. I want to pass along my experience to you the student so that may have your own success with mathematics.